I'm not sure I quite follow the question but this might help. SNOMED CT can repressent the same information in multiple ways. For example left sided hip scan can be repressented using a single concept (426100003 | Ultrasound scan of left hip |) or gluing a laterality of left to the concept for ultrasound of hip (the actual expression is a little complex here, I can post it if you need).
However when doing some operations, e.g. subsumption tests, the form needs to be consistent. Thus there is are standardised forms and standard algorithms to get to them, I nearly always use the Long Normal Form.
So in short the normal form of an expression is a standard repressentation of that expression which can be transformed to from other repressentations.
More information can be found if you search "Normal form" on the technical reference guide: http://ihtsdo.org/fileadmin/user_upload/doc/en_gb/tig.html